Symmetric coupling of boundary elements and Raviart–Thomas-type mixed finite elements in elastostatics |
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Authors: | Ulrich Brink Carsten Carstensen Erwin Stein |
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Institution: | Institut für Baumechanik und Numerische Mechanik, Universit?t Hannover, D-30167 Hannover, Germany, DE Mathematisches Seminar II, Christian-Albrechts-Universit?t zu Kiel, D-24098 Kiel, Germany, DE
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Abstract: | Summary. Both mixed finite element methods and boundary integral methods are important tools in computational mechanics according to
a good stress approximation. Recently, even low order mixed methods of Raviart–Thomas-type became available for problems in
elasticity. Since either methods are robust for critical Poisson ratios, it appears natural to couple the two methods as proposed
in this paper. The symmetric coupling changes the elliptic part of the bilinear form only. Hence the convergence analysis
of mixed finite element methods is applicable to the coupled problem as well. Specifically, we couple boundary elements with
a family of mixed elements analyzed by Stenberg. The locking-free implementation is performed via Lagrange multipliers, numerical
examples are included.
Received February 21, 1995 / Revised version received December 21, 1995 |
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Keywords: | Mathematics Subject Classification (1991):65N30 65R20 |
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